Question

Cosx=sin34∘ cos x = sin 34 ∘ What is the value of x?

Answer 1

Cos (90-34)°=sin (34°) So Cos (56°)=Sin(34°)

Answer 2

Short Answer 56
Remark
There are at least two ways of doing this. We can try them both.
Step One
Find the Sin (34)
Sin(34) = 0.5592

Step Two
Find Cos(x)
x = cos-1(0.5592)
x = 56 degrees.

That's one way.
Another is just to do this
90 - 34 = 56
This is much simpler.
so x = 56

cos(56) = 0.5592
sin(34) = 0.5592